104684015520 has 288 divisors, whose sum is σ = 426214353600. Its totient is φ = 23927726592.

The previous prime is 104684015509. The next prime is 104684015561. The reversal of 104684015520 is 25510486401.

It is a happy number.

104684015520 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 40 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35590 + ... + 458949.

It is an arithmetic number, because the mean of its divisors is an integer number (1479910950).

Almost surely, 2^104684015520 is an apocalyptic number.

104684015520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104684015520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213107176800).

104684015520 is an abundant number, since it is smaller than the sum of its proper divisors (321530338080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104684015520 is a wasteful number, since it uses less digits than its factorization.

104684015520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494577 (or 494556 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 104684015520 in words is "one hundred four billion, six hundred eighty-four million, fifteen thousand, five hundred twenty".